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8113664 = 29132353
BaseRepresentation
bin11110111100111000000000
3120021012212002
4132330320000
54034114124
6445523132
7125651666
oct36747000
916235762
108113664
114641a09
1228734a8
1318b10b0
141112c36
15aa40ae
hex7bce00

8113664 has 80 divisors (see below), whose sum is σ = 18561312. Its totient is φ = 3514368.

The previous prime is 8113663. The next prime is 8113669. The reversal of 8113664 is 4663118.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8113663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153062 + ... + 153114.

Almost surely, 28113664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280656).

8113664 is an abundant number, since it is smaller than the sum of its proper divisors (10447648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8113664 is a wasteful number, since it uses less digits than its factorization.

8113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 8113664 is about 2848.4494027453. The cubic root of 8113664 is about 200.9427491379.

The spelling of 8113664 in words is "eight million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 104 106 128 184 208 212 256 299 368 416 424 512 598 689 736 832 848 1196 1219 1378 1472 1664 1696 2392 2438 2756 2944 3328 3392 4784 4876 5512 5888 6656 6784 9568 9752 11024 11776 13568 15847 19136 19504 22048 27136 31694 38272 39008 44096 63388 76544 78016 88192 126776 153088 156032 176384 253552 312064 352768 507104 624128 1014208 2028416 4056832 8113664